Multiplicity of the second‐largest eigenvalue of a planar graph

DOI10.1002/jgt.22708zbMath1529.05102OpenAlexW3181641438MaRDI QIDQ6056753

Yanli Hao, Guantao Chen

Publication date: 4 October 2023

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jgt.22708

zbMATH Keywords

eigenvalueadjacency matrixplanar graphouterplanar graphTutte decomposition

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (2)

Graphs with second largest eigenvalue less than 1/2 ⋮ Characterization of outerplanar graphs whose second largest eigenvalue is at most 1

Cites Work

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• Spectra of graphs
• On the spectrum of a complete multipartite graph
• Eigenvectors of acyclic matrices
• A simple proof of the Perron-Frobenius theorem for positive symmetric matrices
• Circumference of Graphs with Bounded Degree

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